Kwantyle rozkładu x kwadrat


Kwantyle rozkładu χ2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

α

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

k

0,999

0,99

0,98

0,97

0,96

0,95

0,94

0,93

0,92

0,91

0,90

0,80

0,70

0,60

0,50

0,40

0,30

0,20

0,10

0,09

0,08

0,07

0,06

0,05

0,04

0,03

0,02

0,01

0,001

1

0,000002

0,000157

0,000628

0,001414

0,002515

0,003932

0,005666

0,007717

0,010087

0,012778

0,015791

0,064185

0,148

0,275

0,455

0,708

1,074

1,642

2,706

2,874

3,065

3,283

3,537

3,841

4,218

4,709

5,412

6,635

10,827

2

0,002

0,020

0,040

0,061

0,082

0,103

0,124

0,145

0,167

0,189

0,211

0,446

0,713

1,022

1,386

1,833

2,408

3,219

4,605

4,816

5,051

5,319

5,627

5,991

6,438

7,013

7,824

9,210

13,815

3

0,024

0,115

0,185

0,245

0,300

0,352

0,401

0,449

0,495

0,540

0,584

1,005

1,424

1,869

2,366

2,946

3,665

4,642

6,251

6,491

6,759

7,060

7,407

7,815

8,311

8,947

9,837

11,345

16,266

4

0,091

0,297

0,429

0,535

0,627

0,711

0,788

0,862

0,931

0,999

1,064

1,649

2,195

2,753

3,357

4,045

4,878

5,989

7,779

8,043

8,337

8,666

9,044

9,488

10,026

10,712

11,668

13,277

18,466

5

0,210

0,554

0,752

0,903

1,031

1,145

1,250

1,347

1,439

1,526

1,610

2,343

3,000

3,656

4,351

5,132

6,064

7,289

9,236

9,521

9,837

10,191

10,596

11,070

11,644

12,375

13,388

15,086

20,515

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6

0,381

0,872

1,134

1,330

1,492

1,635

1,765

1,885

1,997

2,103

2,204

3,070

3,828

4,570

5,348

6,211

7,231

8,558

10,645

10,948

11,283

11,660

12,090

12,592

13,198

13,968

15,033

16,812

22,457

7

0,599

1,239

1,564

1,802

1,997

2,167

2,320

2,461

2,592

2,716

2,833

3,822

4,671

5,493

6,346

7,283

8,383

9,803

12,017

12,337

12,691

13,088

13,540

14,067

14,703

15,509

16,622

18,475

24,321

8

0,857

1,647

2,032

2,310

2,537

2,733

2,908

3,068

3,217

3,357

3,490

4,594

5,527

6,423

7,344

8,351

9,524

11,030

13,362

13,697

14,068

14,484

14,956

15,507

16,171

17,011

18,168

20,090

26,124

9

1,152

2,088

2,532

2,848

3,105

3,325

3,521

3,700

3,866

4,021

4,168

5,380

6,393

7,357

8,343

9,414

10,656

12,242

14,684

15,034

15,421

15,854

16,346

16,919

17,608

18,480

19,679

21,666

27,877

10

1,479

2,558

3,059

3,412

3,697

3,940

4,157

4,353

4,535

4,705

4,865

6,179

7,267

8,295

9,342

10,473

11,781

13,442

15,987

16,352

16,753

17,203

17,713

18,307

19,021

19,922

21,161

23,209

29,588

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

11

1,834

3,053

3,609

3,997

4,309

4,575

4,810

5,024

5,221

5,405

5,578

6,989

8,148

9,237

10,341

11,530

12,899

14,631

17,275

17,653

18,069

18,533

19,061

19,675

20,412

21,342

22,618

24,725

31,264

12

2,214

3,571

4,178

4,601

4,939

5,226

5,480

5,710

5,921

6,118

6,304

7,807

9,034

10,182

11,340

12,584

14,011

15,812

18,549

18,939

19,369

19,849

20,393

21,026

21,785

22,742

24,054

26,217

32,909

13

2,617

4,107

4,765

5,221

5,584

5,892

6,163

6,409

6,634

6,844

7,041

8,634

9,926

11,129

12,340

13,636

15,119

16,985

19,812

20,214

20,657

21,151

21,711

22,362

23,142

24,125

25,471

27,688

34,527

14

3,041

4,660

5,368

5,856

6,243

6,571

6,859

7,120

7,359

7,581

7,790

9,467

10,821

12,078

13,339

14,685

16,222

18,151

21,064

21,478

21,933

22,441

23,017

23,685

24,485

25,493

26,873

29,141

36,124

15

3,483

5,229

5,985

6,503

6,914

7,261

7,566

7,841

8,093

8,327

8,547

10,307

11,721

13,030

14,339

15,733

17,322

19,311

22,307

22,732

23,199

23,720

24,311

24,996

25,816

26,848

28,259

30,578

37,698

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

16

3,942

5,812

6,614

7,163

7,596

7,962

8,283

8,572

8,836

9,082

9,312

11,152

12,624

13,983

15,338

16,780

18,418

20,465

23,542

23,977

24,456

24,990

25,595

26,296

27,136

28,191

29,633

32,000

39,252

17

4,416

6,408

7,255

7,832

8,288

8,672

9,008

9,311

9,588

9,845

10,085

12,002

13,531

14,937

16,338

17,824

19,511

21,615

24,769

25,215

25,705

26,251

26,870

27,587

28,445

29,523

30,995

33,409

40,791

18

4,905

7,015

7,906

8,512

8,989

9,390

9,742

10,058

10,347

10,614

10,865

12,857

14,440

15,893

17,338

18,868

20,601

22,760

25,989

26,445

26,947

27,505

28,137

28,869

29,745

30,845

32,346

34,805

42,312

19

5,407

7,633

8,567

9,200

9,698

10,117

10,483

10,812

11,112

11,391

11,651

13,716

15,352

16,850

18,338

19,910

21,689

23,900

27,204

27,669

28,181

28,751

29,396

30,144

31,037

32,158

33,687

36,191

43,819

20

5,921

8,260

9,237

9,897

10,415

10,851

11,231

11,573

11,884

12,173

12,443

14,578

16,266

17,809

19,337

20,951

22,775

25,038

28,412

28,887

29,410

29,991

30,649

31,410

32,321

33,462

35,020

37,566

45,314

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

21

6,447

8,897

9,915

10,601

11,140

11,591

11,986

12,339

12,662

12,961

13,240

15,445

17,182

18,768

20,337

21,992

23,858

26,171

29,615

30,100

30,632

31,225

31,895

32,671

33,597

34,759

36,343

38,932

46,796

22

6,983

9,542

10,600

11,313

11,870

12,338

12,746

13,112

13,445

13,753

14,041

16,314

18,101

19,729

21,337

23,031

24,939

27,301

30,813

31,307

31,849

32,453

33,135

33,924

34,867

36,049

37,659

40,289

48,268

23

7,529

10,196

11,293

12,030

12,607

13,091

13,512

13,889

14,233

14,551

14,848

17,187

19,021

20,690

22,337

24,069

26,018

28,429

32,007

32,510

33,062

33,675

34,370

35,172

36,131

37,332

38,968

41,638

49,728

24

8,085

10,856

11,992

12,754

13,350

13,848

14,283

14,672

15,026

15,353

15,659

18,062

19,943

21,652

23,337

25,106

27,096

29,553

33,196

33,708

34,269

34,893

35,599

36,415

37,389

38,609

40,270

42,980

51,179

25

8,649

11,524

12,697

13,484

14,098

14,611

15,059

15,459

15,823

16,159

16,473

18,940

20,867

22,616

24,337

26,143

28,172

30,675

34,382

34,902

35,472

36,106

36,824

37,652

38,642

39,880

41,566

44,314

52,619

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

26

9,222

12,198

13,409

14,219

14,851

15,379

15,839

16,250

16,624

16,970

17,292

19,820

21,792

23,579

25,336

27,179

29,246

31,795

35,563

36,091

36,671

37,315

38,044

38,885

39,889

41,146

42,856

45,642

54,051

27

9,803

12,878

14,125

14,959

15,609

16,151

16,624

17,045

17,429

17,783

18,114

20,703

22,719

24,544

26,336

28,214

30,319

32,912

36,741

37,278

37,866

38,520

39,259

40,113

41,132

42,407

44,140

46,963

55,475

28

10,391

13,565

14,847

15,704

16,371

16,928

17,412

17,844

18,238

18,601

18,939

21,588

23,647

25,509

27,336

29,249

31,391

34,027

37,916

38,460

39,058

39,721

40,471

41,337

42,370

43,662

45,419

48,278

56,892

29

10,986

14,256

15,574

16,454

17,138

17,708

18,204

18,647

19,050

19,421

19,768

22,475

24,577

26,475

28,336

30,283

32,461

35,139

39,087

39,640

40,246

40,919

41,679

42,557

43,604

44,913

46,693

49,588

58,301

30

11,588

14,953

16,306

17,208

17,908

18,493

19,000

19,453

19,865

20,245

20,599

23,364

25,508

27,442

29,336

31,316

33,530

36,250

40,256

40,816

41,430

42,113

42,883

43,773

44,834

46,160

47,962

50,892

59,702



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